Finding the Third Proportional to 80,812 and 172,856

Step by Step Solution

1. Step 1: Write the proportion equation
   80,812 : 172,856 = 172,856 : x
2. Step 2: Convert to fraction form
   80,812/172,856 = 172,856/x
3. Step 3: Cross multiply
   80,812x = 172,856 × 172,856
4. Step 4: Simplify right side
   80,812x = 29,879,196,736
5. Step 5: Solve for x
   x = 29,879,196,736/80,812
6. Step 6: Final answer
   x = 369,737.13